Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #449×D59 |
| Fitting | C59×#449 ⋊ C2 |
| Sylow | C59 ⋊ C2×#449 |
812 conjugacy classes of subgroups.
589 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#449×D59, D59×#3002, D59×#3005, … |
| maximal normal subgroup of | C2×#449×D59, D59×#3002, D59×#3005, … |
| maximal quotient of | D59×#1597, D59×#1609, D59×#1600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13707);